Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

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9780471694632: Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design
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Discover applications of Fourier analysis on finite non-Abeliangroups

The majority of publications in spectral techniques considerFourier transform on Abelian groups. However, non-Abelian groupsprovide notable advantages in efficient implementations of spectralmethods.

Fourier Analysis on Finite Groups with Applications in SignalProcessing and System Design examines aspects of Fourieranalysis on finite non-Abelian groups and discusses differentmethods used to determine compact representations for discretefunctions providing for their efficient realizations and relatedapplications. Switching functions are included as an example ofdiscrete functions in engineering practice. Additionally,consideration is given to the polynomial expressions and decisiondiagrams defined in terms of Fourier transform on finitenon-Abelian groups.

A solid foundation of this complex topic is provided bybeginning with a review of signals and their mathematical modelsand Fourier analysis. Next, the book examines recent achievementsand discoveries in:

  • Matrix interpretation of the fast Fourier transform
  • Optimization of decision diagrams
  • Functional expressions on quaternion groups
  • Gibbs derivatives on finite groups
  • Linear systems on finite non-Abelian groups
  • Hilbert transform on finite groups

Among the highlights is an in-depth coverage of applications ofabstract harmonic analysis on finite non-Abelian groups in compactrepresentations of discrete functions and related tasks in signalprocessing and system design, including logic design. All chaptersare self-contained, each with a list of references to facilitatethe development of specialized courses or self-study.

With nearly 100 illustrative figures and fifty tables, this isan excellent textbook for graduate-level students and researchersin signal processing, logic design, and system theory-as well asthe more general topics of computer science and appliedmathematics.

"synopsis" may belong to another edition of this title.

About the Author:

RADOMIR S. STANKOVIC, PhD, is Professor, Department ofComputer Science, Faculty of Electronics, University of Nis,Serbia.

CLAUDIO MORAGA, PhD, is Professor, Department of ComputerScience, Dortmund University, Germany.

JAAKKO T. ASTOLA, PhD, is Professor, Institute of SignalProcessing, Tampere University of Technology, Finland.

Review:

"...a concise monograph about the algebraic structures theory used in the Fourier analysis of signals and systems...useful for applied mathematicians and for engineers..." (Computing Reviews.com, November 3, 2005)

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Radomir S. Stankovic, Claudio Moraga, Jaakko Astola
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Book Description John Wiley and Sons Ltd, United States, 2005. Hardback. Condition: New. 1. Auflage. Language: English . Brand New Book. This book lets you discover applications of Fourier analysis on finite non Abelian groups. The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non Abelian groups provide notable advantages in efficient implementations of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and discoveries in: matrix interpretation of the fast Fourier transform; optimization of decision diagrams; functional expressions on quaternion groups; Gibbs derivatives on finite groups; linear systems on finite non Abelian groups; and Hilbert transform on finite groups. Among the highlights is an in depth coverage of applications of abstract harmonic analysis on finite non Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self contained, each with a list of references to facilitate the development of specialized courses or self study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate level students and researchers in signal processing, logic design, and system theory as well as the more general topics of computer science and applied mathematics. Seller Inventory # AAH9780471694632

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Book Description John Wiley and Sons Ltd, United States, 2005. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. This book lets you discover applications of Fourier analysis on finite non Abelian groups. The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non Abelian groups provide notable advantages in efficient implementations of spectral methods. "Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design" examines aspects of Fourier analysis on finite non Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis.Next, the book examines recent achievements and discoveries in: matrix interpretation of the fast Fourier transform; optimization of decision diagrams; functional expressions on quaternion groups; Gibbs derivatives on finite groups; linear systems on finite non Abelian groups; and Hilbert transform on finite groups. Among the highlights is an in depth coverage of applications of abstract harmonic analysis on finite non Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self contained, each with a list of references to facilitate the development of specialized courses or self study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate level students and researchers in signal processing, logic design, and system theory as well as the more general topics of computer science and applied mathematics. Seller Inventory # AAH9780471694632

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Book Description John Wiley and Sons Ltd, United States, 2005. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. This book lets you discover applications of Fourier analysis on finite non Abelian groups. The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non Abelian groups provide notable advantages in efficient implementations of spectral methods. "Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design" examines aspects of Fourier analysis on finite non Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis.Next, the book examines recent achievements and discoveries in: matrix interpretation of the fast Fourier transform; optimization of decision diagrams; functional expressions on quaternion groups; Gibbs derivatives on finite groups; linear systems on finite non Abelian groups; and Hilbert transform on finite groups. Among the highlights is an in depth coverage of applications of abstract harmonic analysis on finite non Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self contained, each with a list of references to facilitate the development of specialized courses or self study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate level students and researchers in signal processing, logic design, and system theory as well as the more general topics of computer science and applied mathematics. Seller Inventory # LIE9780471694632

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Book Description Wiley-IEEE Press. Hardcover. Condition: New. 264 pages. Dimensions: 9.3in. x 6.2in. x 0.7in.Discover applications of Fourier analysis on finite non-Abelian groupsThe majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and discoveries in: Matrix interpretation of the fast Fourier transformOptimization of decision diagramsFunctional expressions on quaternion groupsGibbs derivatives on finite groupsLinear systems on finite non-Abelian groupsHilbert transform on finite groupsAmong the highlights is an in-depth coverage of applications of abstract harmonic analysis on finite non-Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self-contained, each with a list of references to facilitate the development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate-level students and researchers in signal processing, logic design, and system theory-as well as the more general topics of computer science and applied mathematics. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Seller Inventory # 9780471694632

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